Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100cr |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-163394752439520000 = -1 · 28 · 311 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411600,-103483100] |
[a1,a2,a3,a4,a6] |
j |
-11468800/243 |
j-invariant |
L |
1.6942534313221 |
L(r)(E,1)/r! |
Ω |
0.094125190625816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bo1 44100bb1 44100dd1 |
Quadratic twists by: -3 5 -7 |